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<div class="title">test_calculations.cpp</div>  </div>
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<div class="contents">
<a href="test__calculations_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160; </div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#include &quot;catch.hpp&quot;</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="QuEST_8h.html">QuEST.h</a>&quot;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="utilities_8hpp.html">utilities.hpp</a>&quot;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160; </div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">/* allows concise use of Contains in catch&#39;s REQUIRE_THROWS_WITH */</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">using</span> Catch::Matchers::Contains;</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160; </div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">   15</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcDensityInnerProduct&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat1 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    </div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        </div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="comment">// repeat these random tests 10 times </span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        GENERATE( range(0,10) );</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        </div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            </div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            SECTION( <span class="stringliteral">&quot;pure&quot;</span> ) {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                <span class="comment">// mat1 = |r1&gt;&lt;r1|</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1,r1));</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                <span class="comment">// mat2 = |r2&gt;&lt;r2|</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r2,r2));</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                </div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                <span class="comment">// prod( |r1&gt;&lt;r1|, |r2&gt;&lt;r2| ) = |&lt;r1|r2&gt;|^2 </span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;r1.size(); i++)</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                    prod += conj(r1[i]) * r2[i];</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> densProd = pow(abs(prod),2);</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                </div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(densProd) );</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            SECTION( <span class="stringliteral">&quot;mixed&quot;</span> ) {</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                </div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                <span class="comment">// prod(mat1, mat2) = sum_{ij} conj(mat1_{ij}) * mat2_{ij}</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> refProd = 0;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;ref1.size(); i++)</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j&lt;ref1.size(); j++)</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                        refProd += conj(ref1[i][j]) * ref2[i][j];</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                REQUIRE( imag(refProd) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                </div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(real(refProd)) );</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                <span class="comment">// should be invariant under ordering</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(<a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat2,mat1)) );</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            }</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                <span class="comment">// set both to random (non-Hermitian) complex matrices</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                </div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                <span class="comment">// prod(mat1, mat2) = real(sum_{ij} conj(mat1_{ij}) * mat2_{ij})</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> refProd = 0;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;ref1.size(); i++)</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j&lt;ref1.size(); j++)</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                        refProd += conj(ref1[i][j]) * ref2[i][j];</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                        </div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(real(refProd)) );</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            }</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        }</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        </div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        SECTION( <span class="stringliteral">&quot;dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            </div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat3 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat3), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat3, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        }</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vectors&quot;</span> ) {</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            </div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            </div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,vec), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(vec,mat1), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(vec,vec),  Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );        </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            </div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        }</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    }</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;}</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160; </div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="group__unittest.html#ga73a058eb67be1476ac4e37be653d64c3">  111</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcExpecDiagonalOp&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    </div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        </div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="comment">// try 10 random operators </span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        GENERATE( range(0,10) );</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="comment">// make a totally random (non-Hermitian) diagonal oeprator</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <a class="code" href="structDiagonalOp.html">DiagonalOp</a> op = <a class="code" href="group__type.html#gaebf896dd8d5eeaf9fd896f6cc8e334fe">createDiagonalOp</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">long</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> i=0; i&lt;op.<a class="code" href="structDiagonalOp.html#a2c6eab631ef48b4978db026c98180eee">numElemsPerChunk</a>; i++) {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            op.<a class="code" href="structDiagonalOp.html#a1d66088bed235d524cd452b107694d5c">real</a>[i] = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(-5, 5);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            op.<a class="code" href="structDiagonalOp.html#a85c3f52533efe831bbe40b9a48602388">imag</a>[i] = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(-5, 5);</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        }</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <a class="code" href="group__type.html#gab75d5cdc622d2778bad24e3a8130aab9">syncDiagonalOp</a>(op);</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        </div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            <span class="comment">/* calcExpecDiagOp calculates &lt;qureg|diag|qureg&gt; */</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            </div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> sumRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(op) * vecRef;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;vecRef.size(); i++)</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                prod += conj(vecRef[i]) * sumRef[i];</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            </div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            <a class="code" href="structComplex.html">Complex</a> res = <a class="code" href="group__calc.html#ga82f17e96a4cb7612fb9c6ef856df3810">calcExpecDiagonalOp</a>(vec, op);</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            REQUIRE( res.<a class="code" href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">real</a> == Approx(real(prod)).margin(REAL_EPS) );</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            REQUIRE( res.<a class="code" href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">imag</a> == Approx(imag(prod)).margin(REAL_EPS) );</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        } </div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            </div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            <span class="comment">/* calcExpecDiagOp calculates Trace( diag * qureg ) */</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            matRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(op) * matRef;            </div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;            <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> tr = 0;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;matRef.size(); i++)</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                tr += matRef[i][i];</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160; </div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            <a class="code" href="structComplex.html">Complex</a> res = <a class="code" href="group__calc.html#ga82f17e96a4cb7612fb9c6ef856df3810">calcExpecDiagonalOp</a>(mat, op);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;            REQUIRE( res.<a class="code" href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">real</a> == Approx(real(tr)).margin(100*REAL_EPS) );</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            REQUIRE( res.<a class="code" href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">imag</a> == Approx(imag(tr)).margin(100*REAL_EPS) );</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        </div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        <a class="code" href="group__type.html#ga2c59f45fab56708f687b4104ee99bcd1">destroyDiagonalOp</a>(op, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    }</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        </div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        SECTION( <span class="stringliteral">&quot;mismatching size&quot;</span> ) {</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;            </div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            <a class="code" href="structDiagonalOp.html">DiagonalOp</a> op = <a class="code" href="group__type.html#gaebf896dd8d5eeaf9fd896f6cc8e334fe">createDiagonalOp</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;            </div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga82f17e96a4cb7612fb9c6ef856df3810">calcExpecDiagonalOp</a>(vec, op), Contains(<span class="stringliteral">&quot;equal number of qubits&quot;</span>));</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga82f17e96a4cb7612fb9c6ef856df3810">calcExpecDiagonalOp</a>(mat, op), Contains(<span class="stringliteral">&quot;equal number of qubits&quot;</span>));</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;            </div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;            <a class="code" href="group__type.html#ga2c59f45fab56708f687b4104ee99bcd1">destroyDiagonalOp</a>(op, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        }</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    }</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;}</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160; </div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160; </div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160; </div>
<div class="line"><a name="l00183"></a><span class="lineno"><a class="line" href="group__unittest.html#ga3eb91320e5854d964b125bb659b83d41">  183</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcExpecPauliHamil&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    </div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    </div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vecWork = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> matWork = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;    </div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        </div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        <span class="comment">/* it&#39;s too expensive to try every possible Pauli configuration, so</span></div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="comment">         * we&#39;ll try 10 random codes, and for each, random coefficients</span></div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;<span class="comment">         */</span></div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;        GENERATE( range(0,10) );</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                 </div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        <span class="keywordtype">int</span> numTerms = GENERATE( 1, 2, 10, 15 );</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;        <a class="code" href="structPauliHamil.html">PauliHamil</a> hamil = <a class="code" href="group__type.html#ga35b28710877c462927366fa602e591cb">createPauliHamil</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, numTerms);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;        <a class="code" href="group__testutilities.html#ga11c465ce1a5c238946a9e09d61c94c58">setRandomPauliSum</a>(hamil);</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> refHamil = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(hamil);</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;        </div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160; </div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            <span class="comment">/* calcExpecPauliHamil calculates &lt;qureg|pauliHum|qureg&gt; */</span></div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;            </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> sumRef = refHamil * vecRef;</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;            <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;vecRef.size(); i++)</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;                prod += conj(vecRef[i]) * sumRef[i];</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            REQUIRE( imag(prod) == Approx(0).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;            </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(vec, hamil, vecWork);</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            REQUIRE( res == Approx(real(prod)).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        } </div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;            </div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;            <span class="comment">/* calcExpecPauliHamil calculates Trace( pauliHamil * qureg ) */</span></div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;            matRef = refHamil * matRef;            </div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;matRef.size(); i++)</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;                tr += real(matRef[i][i]);</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;            <span class="comment">// (get real, since we start in a non-Hermitian state, hence diagonal isn&#39;t real)</span></div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;            </div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(mat, hamil, matWork);</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;            REQUIRE( res == Approx(tr).margin(1E2*REAL_EPS) );</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;        }</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;        </div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;        <a class="code" href="group__type.html#gac1c8ed909b33bd55ae680901006051b6">destroyPauliHamil</a>(hamil);</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;    }</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    SECTION( <span class="stringliteral">&quot;validation&quot;</span> ) {</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;        </div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        SECTION( <span class="stringliteral">&quot;pauli codes&quot;</span> ) {</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;            </div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;            <span class="keywordtype">int</span> numTerms = 3;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;            <a class="code" href="structPauliHamil.html">PauliHamil</a> hamil = <a class="code" href="group__type.html#ga35b28710877c462927366fa602e591cb">createPauliHamil</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, numTerms);</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160; </div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;            <span class="comment">// make one pauli code wrong</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;            hamil.<a class="code" href="structPauliHamil.html#a4b8d38c403553c07ceddcd40c46ce6c8">pauliCodes</a>[GENERATE_COPY( range(0,numTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) )] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) GENERATE( -1, 4 );</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(vec, hamil, vecWork), Contains(<span class="stringliteral">&quot;Invalid Pauli code&quot;</span>) );</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;            </div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;            <a class="code" href="group__type.html#gac1c8ed909b33bd55ae680901006051b6">destroyPauliHamil</a>(hamil);</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;        }</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;        SECTION( <span class="stringliteral">&quot;workspace type&quot;</span> ) {</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;            </div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;            <span class="keywordtype">int</span> numTerms = 1;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;            <a class="code" href="structPauliHamil.html">PauliHamil</a> hamil = <a class="code" href="group__type.html#ga35b28710877c462927366fa602e591cb">createPauliHamil</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, numTerms);</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;            </div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(vec, hamil, mat), Contains(<span class="stringliteral">&quot;Registers must both be state-vectors or both be density matrices&quot;</span>) );</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(mat, hamil, vec), Contains(<span class="stringliteral">&quot;Registers must both be state-vectors or both be density matrices&quot;</span>) );</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;            </div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;            <a class="code" href="group__type.html#gac1c8ed909b33bd55ae680901006051b6">destroyPauliHamil</a>(hamil);</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        }</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        SECTION( <span class="stringliteral">&quot;workspace dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;                </div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;            <span class="keywordtype">int</span> numTerms = 1;</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;            <a class="code" href="structPauliHamil.html">PauliHamil</a> hamil = <a class="code" href="group__type.html#ga35b28710877c462927366fa602e591cb">createPauliHamil</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, numTerms);</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;    </div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(vec, hamil, vec2), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;            </div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(mat, hamil, mat2), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;            </div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;            <a class="code" href="group__type.html#gac1c8ed909b33bd55ae680901006051b6">destroyPauliHamil</a>(hamil);</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;        }</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;        SECTION( <span class="stringliteral">&quot;matching hamiltonian qubits&quot;</span> ) {</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;            </div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;            <span class="keywordtype">int</span> numTerms = 1;</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;            <a class="code" href="structPauliHamil.html">PauliHamil</a> hamil = <a class="code" href="group__type.html#ga35b28710877c462927366fa602e591cb">createPauliHamil</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, numTerms);</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;            </div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(vec, hamil, vecWork), Contains(<span class="stringliteral">&quot;same number of qubits&quot;</span>) );</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a>(mat, hamil, matWork), Contains(<span class="stringliteral">&quot;same number of qubits&quot;</span>) );</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;            </div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;            <a class="code" href="group__type.html#gac1c8ed909b33bd55ae680901006051b6">destroyPauliHamil</a>(hamil);</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        }</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    }</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vecWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(matWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;}</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160; </div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160; </div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160; </div>
<div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="group__unittest.html#ga8825124816954c15598897e157f6e048">  296</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcExpecPauliProd&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;    </div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;    <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;    <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;    </div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vecWork = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> matWork = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;    </div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        </div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;        <span class="keywordtype">int</span> numTargs = GENERATE( range(1,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+1) );</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        <span class="keywordtype">int</span>* targs = GENERATE_COPY( <a class="code" href="group__testutilities.html#ga35add15146aa606b256df79334b867d5">sublists</a>(range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>), numTargs) );</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;        </div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;        <span class="comment">/* it&#39;s too expensive to try ALL Pauli sequences, via </span></div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;<span class="comment">         *      pauliOpType* paulis = GENERATE_COPY( pauliseqs(numTargs) );.</span></div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;<span class="comment">         * Furthermore, take(10, pauliseqs(numTargs)) will try the same pauli codes.</span></div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;<span class="comment">         * Hence, we instead opt to repeatedlyrandomly generate pauliseqs</span></div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="comment">         */</span></div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;        GENERATE( range(0,10) ); <span class="comment">// gen 10 random pauli-codes for every targs</span></div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;        <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> paulis[numTargs];</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numTargs; i++)</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;            paulis[i] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) <a class="code" href="group__testutilities.html#ga7125d0747a44db58115899727ac5f6be">getRandomInt</a>(0,4);</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;            </div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;        <span class="comment">// produce a numTargs-big matrix &#39;pauliProd&#39; by pauli-matrix tensoring</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> iMatr{{1,0},{0,1}};</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> xMatr{{0,1},{1,0}};</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> yMatr{{0,-1i},{1i,0}};</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> zMatr{{1,0},{0,-1}};</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> pauliProd{{1}};</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numTargs; i++) {</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> fac;</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;            <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>) fac = iMatr;</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;            <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c">PAULI_X</a>) fac = xMatr;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;            <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd">PAULI_Y</a>) fac = yMatr;</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;            <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf">PAULI_Z</a>) fac = zMatr;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;            pauliProd = <a class="code" href="group__testutilities.html#ga50616e813b0d0aa4f8220785d780cdff">getKroneckerProduct</a>(fac, pauliProd);</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;        }</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        </div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160; </div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;            <span class="comment">/* calcExpecPauliProd calculates &lt;qureg|pauliProd|qureg&gt; */</span></div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;            </div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> prodRef = vecRef; </div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;            <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(prodRef, targs, numTargs, pauliProd);</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;            <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;vecRef.size(); i++)</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;                prod += conj(vecRef[i]) * prodRef[i];</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;            REQUIRE( imag(prod) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;            </div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, paulis, numTargs, vecWork);</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;            REQUIRE( res == Approx(real(prod)).margin(REAL_EPS) );</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;        }</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;            </div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;            <span class="comment">/* calcExpecPauliProd calculates Trace( pauliProd * qureg ) */</span></div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160; </div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;            <span class="comment">// produce (pauliProd * mat)</span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> fullOp = <a class="code" href="group__testutilities.html#ga20f041452b43026d876fde17a5999265">getFullOperatorMatrix</a>(NULL, 0, targs, numTargs, pauliProd, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;            matRef = fullOp * matRef;</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;            </div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;            <span class="comment">// compute real(trace(pauliProd * mat))</span></div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;matRef.size(); i++)</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;                tr += real(matRef[i][i]);</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;            <span class="comment">// (get real, since we start in a non-Hermitian state, hence diagonal isn&#39;t real)</span></div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;            </div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(mat, targs, paulis, numTargs, matWork);</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;            REQUIRE( res == Approx(tr).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;        }</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;    }</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;    SECTION( <span class="stringliteral">&quot;validation&quot;</span> ) {</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;        </div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;        SECTION( <span class="stringliteral">&quot;number of targets&quot;</span> ) {</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;            </div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;            <span class="keywordtype">int</span> numTargs = GENERATE( -1, 0, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+1 );</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, NULL, NULL, numTargs, vecWork), Contains(<span class="stringliteral">&quot;Invalid number of target&quot;</span>) );</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;        }</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;        SECTION( <span class="stringliteral">&quot;target indices&quot;</span> ) {</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;            </div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;            <span class="keywordtype">int</span> numTargs = 3;</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;            <span class="keywordtype">int</span> targs[3] = {0, 1, 2};</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;            </div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;            <span class="comment">// make one index wrong</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;            targs[GENERATE( range(0,3) )] = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, NULL, numTargs, vecWork), Contains(<span class="stringliteral">&quot;Invalid target qubit&quot;</span>) );</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;        }</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;        SECTION( <span class="stringliteral">&quot;repetition in targets&quot;</span> ) {</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;            </div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;            <span class="keywordtype">int</span> numTargs = 3;</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;            <span class="keywordtype">int</span> targs[3] = {0, 1, 1};</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, NULL, numTargs, vecWork), Contains(<span class="stringliteral">&quot;target qubits must be unique&quot;</span>) );</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;        }</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;        SECTION( <span class="stringliteral">&quot;pauli codes&quot;</span> ) {</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;            </div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;            <span class="keywordtype">int</span> numTargs = 3;</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;            <span class="keywordtype">int</span> targs[3] = {0, 1, 2};</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;            <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[3] = {<a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c">PAULI_X</a>, <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd">PAULI_Y</a>, <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf">PAULI_Z</a>};</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;            </div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;            <span class="comment">// make one pauli wrong</span></div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;            codes[GENERATE( range(0,3) )] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) GENERATE( -1, 4 );</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, codes, numTargs, vecWork), Contains(<span class="stringliteral">&quot;Invalid Pauli code&quot;</span>) );</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;        }</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;        SECTION( <span class="stringliteral">&quot;workspace type&quot;</span> ) {</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;            </div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;            <span class="keywordtype">int</span> numTargs = 1;</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;            <span class="keywordtype">int</span> targs[1] = {0};</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;            <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[1] = {<a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>};</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;            </div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, codes, numTargs, matWork), Contains(<span class="stringliteral">&quot;Registers must both be state-vectors or both be density matrices&quot;</span>) );</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(mat, targs, codes, numTargs, vecWork), Contains(<span class="stringliteral">&quot;Registers must both be state-vectors or both be density matrices&quot;</span>) );</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;        }</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;        SECTION( <span class="stringliteral">&quot;workspace dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;                </div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;            <span class="keywordtype">int</span> numTargs = 1;</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;            <span class="keywordtype">int</span> targs[1] = {0};</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;            <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[1] = {<a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>};</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;    </div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, codes, numTargs, vec2), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;            </div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(mat, targs, codes, numTargs, mat2), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;        }</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;    }</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vecWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(matWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;}</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160; </div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160; </div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160; </div>
<div class="line"><a name="l00438"></a><span class="lineno"><a class="line" href="group__unittest.html#ga919ee8725c30d7378532714b70cfb389">  438</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcExpecPauliSum&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;    </div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;    <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;    <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;    </div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vecWork = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> matWork = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;    </div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;        </div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;        <span class="keywordtype">int</span> numSumTerms = GENERATE( 1, 2, 10, 15 );</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;        </div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;        <span class="comment">/* it&#39;s too expensive to try every possible Pauli configuration, so</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;<span class="comment">         * we&#39;ll try 10 random codes, and for each, random coefficients</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;<span class="comment">         */</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;        GENERATE( range(0,10) );</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;        <span class="keywordtype">int</span> totNumCodes = numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>;</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;        <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> paulis[totNumCodes];</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[numSumTerms];</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;        <a class="code" href="group__testutilities.html#ga11c465ce1a5c238946a9e09d61c94c58">setRandomPauliSum</a>(coeffs, paulis, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, numSumTerms);</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;        </div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;        <span class="comment">// produce a numTargs-big matrix &#39;pauliSum&#39; by pauli-matrix tensoring and summing</span></div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> pauliSum = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(coeffs, paulis, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, numSumTerms);</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;        </div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160; </div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;            <span class="comment">/* calcExpecPauliSum calculates &lt;qureg|pauliSum|qureg&gt; */</span></div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;            </div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> sumRef = pauliSum * vecRef;</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;            <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;vecRef.size(); i++)</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;                prod += conj(vecRef[i]) * sumRef[i];</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;            REQUIRE( imag(prod) == Approx(0).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;            </div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, paulis, coeffs, numSumTerms, vecWork);</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;            REQUIRE( res == Approx(real(prod)).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;        } </div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;            </div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;            <span class="comment">/* calcExpecPauliSum calculates Trace( pauliSum * qureg ) */</span></div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;            matRef = pauliSum * matRef;            </div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;matRef.size(); i++)</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;                tr += real(matRef[i][i]);</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;            <span class="comment">// (get real, since we start in a non-Hermitian state, hence diagonal isn&#39;t real)</span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;            </div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(mat, paulis, coeffs, numSumTerms, matWork);</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;            REQUIRE( res == Approx(tr).margin(1E2*REAL_EPS) );</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;        }</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;    }</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;    SECTION( <span class="stringliteral">&quot;validation&quot;</span> ) {</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;        </div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;        SECTION( <span class="stringliteral">&quot;number of sum terms&quot;</span> ) {</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;            </div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;            <span class="keywordtype">int</span> numSumTerms = GENERATE( -1, 0 );</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, NULL, NULL, numSumTerms, vecWork), Contains(<span class="stringliteral">&quot;Invalid number of terms in the Pauli sum&quot;</span>) );</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;        }</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;        SECTION( <span class="stringliteral">&quot;pauli codes&quot;</span> ) {</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;            </div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;            <span class="comment">// make valid params</span></div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;            <span class="keywordtype">int</span> numSumTerms = 3;</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[numSumTerms];</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;            <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;                codes[i] = <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>;</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160; </div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;            <span class="comment">// make one pauli wrong</span></div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;            codes[GENERATE_COPY( range(0,numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) )] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) GENERATE( -1, 4 );</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, codes, coeffs, numSumTerms, vecWork), Contains(<span class="stringliteral">&quot;Invalid Pauli code&quot;</span>) );</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;        }</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;        SECTION( <span class="stringliteral">&quot;workspace type&quot;</span> ) {</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;            </div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;            <span class="comment">// make valid params</span></div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;            <span class="keywordtype">int</span> numSumTerms = 1;</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[1] = {0};</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;            <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;                codes[i] = <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>;</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;            </div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, codes, coeffs, numSumTerms, mat), Contains(<span class="stringliteral">&quot;Registers must both be state-vectors or both be density matrices&quot;</span>) );</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(mat, codes, coeffs, numSumTerms, vec), Contains(<span class="stringliteral">&quot;Registers must both be state-vectors or both be density matrices&quot;</span>) );</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;        }</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;        SECTION( <span class="stringliteral">&quot;workspace dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;                </div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;            <span class="comment">// make valid params</span></div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;            <span class="keywordtype">int</span> numSumTerms = 1;</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[1] = {0};</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;            <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;                codes[i] = <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>;</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;    </div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, codes, coeffs, numSumTerms, vec2), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;            </div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(mat, codes, coeffs, numSumTerms, mat2), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;        }</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;    }</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vecWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(matWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;}</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160; </div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160; </div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160; </div>
<div class="line"><a name="l00554"></a><span class="lineno"><a class="line" href="group__unittest.html#gaceb52fe2677e119547d5b5e0f2f202fb">  554</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcFidelity&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;    </div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> pure = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;    </div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;        </div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;        <span class="comment">// repeat the below random tests 10 times </span></div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;        GENERATE( range(0,10) );</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;        </div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;            </div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;            <span class="comment">/* calcFidelity computes |&lt;vec|pure&gt;|^2 */</span></div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;             </div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;            SECTION( <span class="stringliteral">&quot;normalised&quot;</span> ) {</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;                 </div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;                <span class="comment">// random L2 vectors</span></div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, vecRef);</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;                </div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;                <span class="comment">// |&lt;vec|vec&gt;|^2 = |1|^2 = 1</span></div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,vec) == Approx(1) );</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;                </div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;                <span class="comment">// |&lt;vec|pure&gt;|^2 = |sum_j conj(vec_j) * pure_j|^2</span></div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;vecRef.size(); i++)</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;                    dotProd += conj(vecRef[i]) * pureRef[i];</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refFid = pow(abs(dotProd), 2);</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;                </div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,pure) == Approx(refFid) );</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;            }</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;            </div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;                <span class="comment">// random unnormalised vectors</span></div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, vecRef);</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;                </div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;                <span class="comment">// Let nv be magnitude of vec, hence |unit-vec&gt; = 1/sqrt(nv)|vec&gt;</span></div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> nv = 0;</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;vecRef.size(); i++)</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;                    nv += pow(abs(vecRef[i]), 2);</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;                <span class="comment">// then &lt;vec|vec&gt; = sqrt(nv)*sqrt(nv) &lt;unit-vec|unit-vec&gt; = nv,</span></div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;                <span class="comment">// hence |&lt;vec|vec&gt;|^2 = nv*nv</span></div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,vec) == Approx( nv*nv ) );</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;                </div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;vecRef.size(); i++)</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;                    dotProd += conj(vecRef[i]) * pureRef[i];</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refFid = pow(abs(dotProd), 2);</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;                </div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,pure) == Approx(refFid) ); </div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;            }</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;        }</div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;            </div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;            <span class="comment">/* calcFidelity computes &lt;pure|mat|pure&gt; */</span></div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;            </div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;            SECTION( <span class="stringliteral">&quot;pure&quot;</span> ) {</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;                </div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;                </div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;                <span class="comment">// test when density matrix is the same pure state </span></div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(pureRef, pureRef);</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(1) ); </div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;                </div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;                <span class="comment">// test when density matrix is a random pure state</span></div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;                matRef = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1, r1); <span class="comment">// actually pure |r1&gt;&lt;r1|</span></div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;                </div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;                <span class="comment">// &lt;pure|r1&gt;&lt;r1|pure&gt; = |&lt;r1|pure&gt;|^2 = |sum_j conj(r1_j) * pure_j|^2</span></div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;r1.size(); i++)</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;                    dotProd += conj(r1[i]) * pureRef[i];</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refFid = pow(abs(dotProd), 2);</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;                </div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(refFid) ); </div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;            }</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;            SECTION( <span class="stringliteral">&quot;mixed&quot;</span> ) {</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;                </div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;            </div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;                <span class="comment">// test when density matrix is mixed </span></div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;                </div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;                <span class="comment">// &lt;pure|mat|pure&gt; = &lt;pure| (Mat|pure&gt;)</span></div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> rhs = matRef * pureRef;</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;rhs.size(); i++)</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;                    dotProd += conj(pureRef[i]) * rhs[i];</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160; </div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;                REQUIRE( imag(dotProd) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(real(dotProd)) );</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;            }</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;                </div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;                <span class="comment">// test when both density matrix and pure state are unnormalised</span></div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;                </div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;                <span class="comment">// real[ &lt;pure|mat|pure&gt; ] = real[ &lt;pure| (Mat|pure&gt;) ]</span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> rhs = matRef * pureRef;</div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;rhs.size(); i++)</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;                    dotProd += conj(pureRef[i]) * rhs[i];</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;                </div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(real(dotProd)) );</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;            }</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;        }</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;    }</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;        </div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;        SECTION( <span class="stringliteral">&quot;dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;            </div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;            <span class="comment">// two state-vectors</span></div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(vec.<a class="code" href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">numQubitsRepresented</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec2,vec), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;        </div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;            <span class="comment">// density-matrix and state-vector</span></div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(vec.<a class="code" href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">numQubitsRepresented</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat2,vec), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;        }</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrices&quot;</span> ) {</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;            </div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;            <span class="comment">// two mixed statess</span></div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,mat), Contains(<span class="stringliteral">&quot;Second argument must be a state-vector&quot;</span>) );</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;        }</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;    }</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(pure, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;}</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160; </div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160; </div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160; </div>
<div class="line"><a name="l00706"></a><span class="lineno"><a class="line" href="group__unittest.html#ga769a51547f263527bf27bbbcb51014a8">  706</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcHilbertSchmidtDistance&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;    </div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat1 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;    </div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;        </div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;        <span class="comment">// perform these random tests 10 times </span></div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;        GENERATE( range(0,10) );</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;        </div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;            </div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;            SECTION( <span class="stringliteral">&quot;pure&quot;</span> ) {</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;                </div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;                <span class="comment">// create random |r1&gt;&lt;r1| and |r2&gt;&lt;r2| states</span></div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> m1 = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1,r1);</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, m1);</div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> m2 = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r2,r2);</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, m2);</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;                </div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;                <span class="comment">// Tr{ (a-b)(a-b)^dagger } =  sum_{ij} |a_{ij} - b_{ij}|^2</span></div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;m1.size(); i++)</div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j&lt;m1.size(); j++)</div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;                        tr += pow(abs(m1[i][j] - m2[i][j]), 2);</div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;                </div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1, mat2);</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;                REQUIRE( res == Approx(sqrt(tr)) );</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;            </div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;            }</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;            SECTION( <span class="stringliteral">&quot;normalised&quot;</span> ) {</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;                </div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;                </div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;                <span class="comment">// Tr{ (a-b)(a-b)^dagger } =  sum_{ij} |a_{ij} - b_{ij}|^2</span></div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;ref1.size(); i++)</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j&lt;ref1.size(); j++)</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;                        tr += pow(abs(ref1[i][j] - ref2[i][j]), 2);</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;                </div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1, mat2);</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;                REQUIRE( res == Approx(sqrt(tr)) );</div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;            }</div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;                </div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;                <span class="comment">// mat1 and mat2 are both random matrices</span></div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;                </div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;                <span class="comment">// Tr{ (a-b)(a-b)^dagger } =  sum_{ij} |a_{ij} - b_{ij}|^2</span></div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;ref1.size(); i++)</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j&lt;ref1.size(); j++)</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;                        tr += pow(abs(ref1[i][j] - ref2[i][j]), 2);</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;                </div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1, mat2);</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;                REQUIRE( res == Approx(sqrt(tr)) );</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;            }</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;        }</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;    }</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span>) {</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;        </div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;        SECTION( <span class="stringliteral">&quot;dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;            </div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat3 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1,mat3), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat3, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;        }</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;            </div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;            </div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(vec,mat1), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1,vec), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(vec,vec), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;            </div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;        }</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;    }</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;}</div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160; </div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160; </div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160; </div>
<div class="line"><a name="l00802"></a><span class="lineno"><a class="line" href="group__unittest.html#gaf08d29f7b27caf904b748c68ff3e3372">  802</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcInnerProduct&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;    </div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec1 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;    </div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;        </div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;        <span class="comment">// perform these random tests 10 times </span></div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;        GENERATE( range(0,10) );</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;        </div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;            </div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;            SECTION( <span class="stringliteral">&quot;normalised&quot;</span> ) {</div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;                </div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;                <span class="comment">// &lt;r1|r2&gt; = sum_j conj(r1_j) * r2_j</span></div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;r1.size(); i++)</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;                    prod += conj(r1[i]) * r2[i];</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;                    </div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec1, r1);</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec2, r2);</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;                <a class="code" href="structComplex.html">Complex</a> res = <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,vec2);</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;                </div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;                REQUIRE( res.<a class="code" href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">real</a> == Approx(real(prod)) );</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;                REQUIRE( res.<a class="code" href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">imag</a> == Approx(imag(prod)) );</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;            }</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;                </div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;                <span class="comment">// &lt;r1|r2&gt; = sum_j conj(r1_j) * r2_j</span></div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;r1.size(); i++)</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;                    prod += conj(r1[i]) * r2[i];</div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;                    </div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec1, r1);</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec2, r2);</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;                <a class="code" href="structComplex.html">Complex</a> res = <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,vec2);</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;                </div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;                REQUIRE( res.<a class="code" href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">real</a> == Approx(real(prod)) );</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;                REQUIRE( res.<a class="code" href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">imag</a> == Approx(imag(prod)) );</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;            }</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;        }</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;    }</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;        </div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;        SECTION( <span class="stringliteral">&quot;dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;            </div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec3 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,vec3), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;don&#39;t match&quot;</span>) );</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec3, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;        }</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;            </div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;            </div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,mat), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(mat,vec1), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(mat,mat), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;            </div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;        }</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;    }</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;}</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160; </div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160; </div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160; </div>
<div class="line"><a name="l00877"></a><span class="lineno"><a class="line" href="group__unittest.html#ga9360d80704ffa985e33a131fc3821d9c">  877</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcProbOfOutcome&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;    </div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;    </div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;        </div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;        <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;        <span class="keywordtype">int</span> outcome = GENERATE( 0, 1 );</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;        </div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;            </div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;            SECTION( <span class="stringliteral">&quot;normalised&quot;</span> ) {</div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;                </div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, ref);</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;                </div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;                <span class="comment">// prob is sum of |amp|^2 of amplitudes where target bit is outcome</span></div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = 0;</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind&lt;ref.size(); ind++) {</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;                    <span class="keywordtype">int</span> bit = (ind &gt;&gt; target) &amp; 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;                    <span class="keywordflow">if</span> (bit == outcome)</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;                        prob += pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;                }</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;                </div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a>(vec, target, outcome) == Approx(prob) );</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;            }</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;                </div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, ref);</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;                </div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;                <span class="comment">// prob is (sum of |amp|^2 of amplitudes where target bit is zero)</span></div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;                <span class="comment">// or 1 - (this) if outcome == 1</span></div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = 0;</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind&lt;ref.size(); ind++) {</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;                    <span class="keywordtype">int</span> bit = (ind &gt;&gt; target) &amp; 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;                    <span class="keywordflow">if</span> (bit == 0)</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;                        prob += pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;                }</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;                <span class="keywordflow">if</span> (outcome == 1)</div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;                    prob = 1 - prob;</div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;                </div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a>(vec, target, outcome) == Approx(prob) );</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;            }</div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;        }</div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;            </div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;            SECTION( <span class="stringliteral">&quot;pure&quot;</span> ) {</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;                </div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;                <span class="comment">// set mat to a random |r&gt;&lt;r|</span></div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(ref, ref));</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;                </div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;                <span class="comment">// calc prob of the state-vector</span></div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = 0;</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind&lt;ref.size(); ind++) {</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;                    <span class="keywordtype">int</span> bit = (ind &gt;&gt; target) &amp; 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;                    <span class="keywordflow">if</span> (bit == outcome)</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;                        prob += pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;                }</div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;                </div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a>(mat, target, outcome) == Approx(prob) );</div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;            }</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;            SECTION( <span class="stringliteral">&quot;mixed&quot;</span> ) {</div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;    </div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;                </div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;                <span class="comment">// prob is sum of diagonal amps (should be real) where target bit is outcome</span></div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;                <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> tr = 0;</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind&lt;ref.size(); ind++) {</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;                    <span class="keywordtype">int</span> bit = (ind &gt;&gt; target) &amp; 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;                    <span class="keywordflow">if</span> (bit == outcome)</div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;                        tr += ref[ind][ind];</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;                }</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;                REQUIRE( imag(tr) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;                </div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a>(mat, target, outcome) == Approx(real(tr)) );</div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;            }</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;                </div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;                </div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;                <span class="comment">// prob is (sum of real of diagonal amps where target bit is outcome)</span></div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;                <span class="comment">// or 1 - (this) if outcome == 1</span></div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind&lt;ref.size(); ind++) {</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;                    <span class="keywordtype">int</span> bit = (ind &gt;&gt; target) &amp; 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;                    <span class="keywordflow">if</span> (bit == 0)</div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;                        tr += real(ref[ind][ind]);</div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;                }</div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;                <span class="keywordflow">if</span> (outcome == 1)</div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;                    tr = 1 - tr;</div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;                </div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a>(mat, target, outcome) == Approx(tr) );</div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;            }</div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;        }</div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;    }</div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;    SECTION( <span class="stringliteral">&quot;validation&quot;</span> ) {</div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;        </div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit indices&quot;</span> ) {</div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;            </div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a>(vec, target, 0), Contains(<span class="stringliteral">&quot;Invalid target qubit&quot;</span>) );</div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;        }</div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;        SECTION( <span class="stringliteral">&quot;outcome value&quot;</span> ) {</div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;            </div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;            <span class="keywordtype">int</span> outcome = GENERATE( -1, 2 );</div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a>(vec, 0, outcome), Contains(<span class="stringliteral">&quot;Invalid measurement outcome&quot;</span>) );</div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;        }</div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;    }</div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;}</div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160; </div>
<div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160; </div>
<div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160; </div>
<div class="line"><a name="l01000"></a><span class="lineno"><a class="line" href="group__unittest.html#gaf8e08b58f3e0d94166b600513224de63"> 1000</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcPurity&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;    </div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;    </div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;        </div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;        <span class="comment">// perform the following random tests 10 times </span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;        GENERATE( range(1,10) );</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;        </div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;            </div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;            SECTION( <span class="stringliteral">&quot;pure&quot;</span> ) {</div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;            </div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;                <span class="comment">// pure states have unity purity </span></div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;                <a class="code" href="group__init.html#ga2f049055d4a51d0ea4d1a43b5234dedb">initZeroState</a>(mat);</div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat) == 1 );</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;                </div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;                <span class="comment">// (try also a pure random L2-vector)</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;                <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>); <span class="comment">// |r&gt;</span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> m1 = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1, r1); <span class="comment">// |r&gt;&lt;r|</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, m1);</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat) == Approx(1) );</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;            </div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;            }</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;            SECTION( <span class="stringliteral">&quot;mixed&quot;</span> ) {</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;            </div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;                <span class="comment">// mixed states have 1/2^N &lt; purity &lt; 1</span></div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> purity = <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat);</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;                REQUIRE( purity &lt; 1 );</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;                REQUIRE( purity &gt;= 1/pow(2.,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;                </div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;                <span class="comment">// compare to Tr(rho^2)</span></div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> prod = ref*ref;</div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;prod.size(); i++)</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;                    tr += real(prod[i][i]);</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;                REQUIRE( purity == Approx(tr) );</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;            }</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;            SECTION( <span class="stringliteral">&quot;unnormalised&quot;</span> ) {</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;            </div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;                <span class="comment">// unphysical states give sum_{ij} |rho_ij|^2</span></div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;                <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tot = 0;</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;ref.size(); i++)</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j&lt;ref.size(); j++)</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;                        tot += pow(abs(ref[i][j]), 2);</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;                    </div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;                <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;                REQUIRE( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat) == Approx(tot) );</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;            }</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;        }</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;    }</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;        </div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;            </div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(vec), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;        }</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;    }</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;}</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; </div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160; </div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; </div>
<div class="line"><a name="l01072"></a><span class="lineno"><a class="line" href="group__unittest.html#ga841339ebf8e009dca360aeb0fcc51acc"> 1072</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;calcTotalProb&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;    </div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;        </div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;        </div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;            </div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;            <span class="comment">// normalised: prob(vec) = 1</span></div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;            <a class="code" href="group__init.html#ga234bd34016f08288532791903b9884b5">initPlusState</a>(vec);</div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == Approx(1) );</div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;            </div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;            <span class="comment">// zero norm: prob(vec) = 0</span></div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;            <a class="code" href="group__init.html#gada7230491a50cd409f8b00f5ee1db953">initBlankState</a>(vec);</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == 0 );</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;            </div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;            <span class="comment">// random L2 state: prob(vec) = 1</span></div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;            <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>));</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == Approx(1) );</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;            </div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;            <span class="comment">// unnormalised: prob(vec) = sum_i |vec_i|^2</span></div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;            <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refProb = 0;</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;ref.size(); i++)</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;                refProb += pow(abs(ref[i]), 2);</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == Approx(refProb) );</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;        }</div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160;            </div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160;            <span class="comment">// normalised: prob(mat) = 1</span></div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;            <a class="code" href="group__init.html#ga234bd34016f08288532791903b9884b5">initPlusState</a>(mat);</div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == Approx(1) );</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;            </div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;            <span class="comment">// zero norm: prob(mat) = 0</span></div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;            <a class="code" href="group__init.html#gada7230491a50cd409f8b00f5ee1db953">initBlankState</a>(mat);</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == 0 );</div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160;            </div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;            <span class="comment">// random density matrix: prob(mat) = 1</span></div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;            <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>));</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == Approx(1) );</div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;            </div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;            <span class="comment">// unnormalised: prob(mat) = sum_i real(mat_{ii})</span></div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;            <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refProb = 0;</div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i&lt;ref.size(); i++)</div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;                refProb += real(ref[i][i]);</div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == Approx(refProb) );</div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;        }</div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;    }</div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;        </div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;        <span class="comment">// no validation </span></div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;        SUCCEED();</div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;    }</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;}</div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160; </div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160; </div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160; </div>
<div class="line"><a name="l01139"></a><span class="lineno"><a class="line" href="group__unittest.html#gaf530a2a0e2809ded8812a4967d291c3e"> 1139</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;getAmp&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;    </div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160;    </div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;        </div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160;            </div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;            <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160; </div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( range(0,1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160;            <a class="code" href="structComplex.html">Complex</a> amp = <a class="code" href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a>(vec,ind);</div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160;            REQUIRE( <a class="code" href="group__type.html#ga3cf635d2b2e57226c8d5a777f513367e">fromComplex</a>(amp) == ref[ind] );</div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160;        }</div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;    }</div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160;        </div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;        SECTION( <span class="stringliteral">&quot;state index&quot;</span> ) {</div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;            </div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( -1, 1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a>(vec,ind), Contains(<span class="stringliteral">&quot;Invalid amplitude index&quot;</span>) );</div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;        }</div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;            </div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a>(mat,0), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;        }</div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;    }</div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;}</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160; </div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160; </div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160; </div>
<div class="line"><a name="l01178"></a><span class="lineno"><a class="line" href="group__unittest.html#ga91c97193b23d8dcba69ad8af5ff31b85"> 1178</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;getDensityAmp&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160;    </div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160;    </div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160;        </div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160;            </div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;            <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160; </div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160;            <span class="keywordtype">int</span> row = GENERATE( range(0,1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160;            <span class="keywordtype">int</span> col = GENERATE( range(0,1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;            </div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160;            <a class="code" href="structComplex.html">Complex</a> amp = <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(mat,row,col);</div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;            REQUIRE( <a class="code" href="group__type.html#ga3cf635d2b2e57226c8d5a777f513367e">fromComplex</a>(amp) == ref[row][col] );</div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;        }</div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;    }</div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;        </div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;        SECTION( <span class="stringliteral">&quot;state index&quot;</span> ) {</div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;            </div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( -1, 1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(mat,ind,0), Contains(<span class="stringliteral">&quot;Invalid amplitude index&quot;</span>) );</div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(mat,0,ind), Contains(<span class="stringliteral">&quot;Invalid amplitude index&quot;</span>) );</div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160; </div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;        }</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;            </div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(vec,0,0), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;        }</div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;    }</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;}</div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160; </div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160; </div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160; </div>
<div class="line"><a name="l01221"></a><span class="lineno"><a class="line" href="group__unittest.html#gae43391f4fc72b35c87ea4d76576463be"> 1221</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;getImagAmp&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;    </div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160;    </div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160;        </div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;            </div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;            <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160; </div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( range(0,1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a>(vec,ind) == imag(ref[ind]) );</div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;        }</div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160;    }</div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160;        </div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;        SECTION( <span class="stringliteral">&quot;state index&quot;</span> ) {</div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;            </div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( -1, 1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a>(vec,ind), Contains(<span class="stringliteral">&quot;Invalid amplitude index&quot;</span>) );</div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;        }</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;            </div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a>(mat,0), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160;        }</div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160;    }</div>
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160;}</div>
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160; </div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160; </div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160; </div>
<div class="line"><a name="l01259"></a><span class="lineno"><a class="line" href="group__unittest.html#ga77058278e43deef9a7daac38746acdcd"> 1259</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;getNumAmps&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160;        </div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;        </div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;        <span class="comment">// test &gt;= NUM_QUBITS so as not to limit distribution size</span></div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160;        <span class="keywordtype">int</span> numQb = GENERATE( range(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+10) );</div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;        </div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;            </div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(numQb, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#ga8cbe422d4981bf06847d229a4c6aa3df">getNumAmps</a>(vec) == (1&lt;&lt;numQb) );</div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;        }</div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160;    }</div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;        </div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga8cbe422d4981bf06847d229a4c6aa3df">getNumAmps</a>(mat), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;        }</div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;    }</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;}</div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160; </div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160; </div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160; </div>
<div class="line"><a name="l01289"></a><span class="lineno"><a class="line" href="group__unittest.html#ga6161165d2a2ba0a72691e040964f86f4"> 1289</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;getNumQubits&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160;        </div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160;        </div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;        <span class="comment">// test &gt;= NUM_QUBITS so as not to limit distribution size</span></div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160;        <span class="keywordtype">int</span> numQb = GENERATE( range(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+10) );</div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160;        </div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;            </div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(numQb, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#ga73036c778d800703585ab3d8796a915f">getNumQubits</a>(vec) == numQb );</div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;        }</div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;            </div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(numQb, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#ga73036c778d800703585ab3d8796a915f">getNumQubits</a>(mat) == numQb );</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;        }</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;    }</div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160;        </div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;        <span class="comment">// no validation</span></div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;        SUCCEED();</div>
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160;    }</div>
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160;}</div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160; </div>
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160; </div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160; </div>
<div class="line"><a name="l01322"></a><span class="lineno"><a class="line" href="group__unittest.html#gad7d8932b28815ad719e3ff6cc29f5656"> 1322</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;getProbAmp&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;    </div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;    </div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;        </div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;            </div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;            <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160; </div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( range(0,1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refCalc = pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a>(vec,ind) == Approx(refCalc) );</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;        }</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160;    }</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160;        </div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160;        SECTION( <span class="stringliteral">&quot;state index&quot;</span> ) {</div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160;            </div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( -1, 1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a>(vec,ind), Contains(<span class="stringliteral">&quot;Invalid amplitude index&quot;</span>) );</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;        }</div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160;            </div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a>(mat,0), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160;        }</div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;    }</div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;}</div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160; </div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160; </div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160; </div>
<div class="line"><a name="l01361"></a><span class="lineno"><a class="line" href="group__unittest.html#gadf3a64a1dff4833aa96ecb3c98656398"> 1361</a></span>&#160;<a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">&quot;getRealAmp&quot;</span>, <span class="stringliteral">&quot;[calculations]&quot;</span> ) {</div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;    </div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160;    </div>
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;        </div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;        SECTION( <span class="stringliteral">&quot;state-vector&quot;</span> ) {</div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160;            </div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;            <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160;            <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160; </div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( range(0,1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;            REQUIRE( <a class="code" href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a>(vec,ind) == real(ref[ind]) );</div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;        }</div>
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;    }</div>
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160;        </div>
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160;        SECTION( <span class="stringliteral">&quot;state index&quot;</span> ) {</div>
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160;            </div>
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160;            <span class="keywordtype">int</span> ind = GENERATE( -1, 1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a>(vec,ind), Contains(<span class="stringliteral">&quot;Invalid amplitude index&quot;</span>) );</div>
<div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160;        }</div>
<div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160;            </div>
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a>(mat,0), Contains(<span class="stringliteral">&quot;valid only for state-vectors&quot;</span>) );</div>
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;        }</div>
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160;    }</div>
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160;}</div>
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160; </div>
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160; </div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="agroup__calc_html_ga4a14d22379d399760b0cfc5c8053589b"><div class="ttname"><a href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a></div><div class="ttdeci">qreal getProbAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the probability of a state-vector at an index in the full state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00692">QuEST.c:692</a></div></div>
<div class="ttc" id="agroup__init_html_gada7230491a50cd409f8b00f5ee1db953"><div class="ttname"><a href="group__init.html#gada7230491a50cd409f8b00f5ee1db953">initBlankState</a></div><div class="ttdeci">void initBlankState(Qureg qureg)</div><div class="ttdoc">Initialises a qureg to have all-zero-amplitudes.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00119">QuEST.c:119</a></div></div>
<div class="ttc" id="agroup__type_html_ga1c703cf89629e4e9c7023cd402d67028"><div class="ttname"><a href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a></div><div class="ttdeci">pauliOpType</div><div class="ttdoc">Codes for specifying Pauli operators.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga20f041452b43026d876fde17a5999265"><div class="ttname"><a href="group__testutilities.html#ga20f041452b43026d876fde17a5999265">getFullOperatorMatrix</a></div><div class="ttdeci">QMatrix getFullOperatorMatrix(int *ctrls, int numCtrls, int *targs, int numTargs, QMatrix op, int numQubits)</div><div class="ttdoc">Takes a 2^numTargs-by-2^numTargs matrix op and a returns a 2^numQubits-by-2^numQubits matrix where op...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00293">utilities.cpp:293</a></div></div>
<div class="ttc" id="amain_8cpp_html_a718130cc1fc36cde991aff3d4c85c47d"><div class="ttname"><a href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a></div><div class="ttdeci">QuESTEnv QUEST_ENV</div><div class="ttdoc">The global QuESTEnv instance, to be created and destroyed once in this main(), so that the MPI enviro...</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00020">main.cpp:20</a></div></div>
<div class="ttc" id="agroup__type_html_ga3cf635d2b2e57226c8d5a777f513367e"><div class="ttname"><a href="group__type.html#ga3cf635d2b2e57226c8d5a777f513367e">fromComplex</a></div><div class="ttdeci">#define fromComplex(comp)</div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf">PAULI_Z</a></div><div class="ttdeci">@ PAULI_Z</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__calc_html_gab082910d33473ec29e1d5852943de468"><div class="ttname"><a href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a></div><div class="ttdeci">qreal calcTotalProb(Qureg qureg)</div><div class="ttdoc">A debugging function which calculates the probability of the qubits in qureg being in any state,...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00903">QuEST.c:903</a></div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a></div><div class="ttdeci">@ PAULI_I</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__calc_html_gadca286c4ad5cde6124d4e80a7ab95a68"><div class="ttname"><a href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a></div><div class="ttdeci">Complex getDensityAmp(Qureg qureg, long long int row, long long int col)</div><div class="ttdoc">Get an amplitude from a density matrix at a given row and column.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00709">QuEST.c:709</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga7125d0747a44db58115899727ac5f6be"><div class="ttname"><a href="group__testutilities.html#ga7125d0747a44db58115899727ac5f6be">getRandomInt</a></div><div class="ttdeci">int getRandomInt(int min, int max)</div><div class="ttdoc">Returns a random integer between min (inclusive) and max (exclusive), from the uniform distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00481">utilities.cpp:481</a></div></div>
<div class="ttc" id="agroup__calc_html_gad575782de461d9ab0975b38cc7850f1a"><div class="ttname"><a href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a></div><div class="ttdeci">qreal getImagAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the imaginary component of the complex probability amplitude at an index in the state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00685">QuEST.c:685</a></div></div>
<div class="ttc" id="agroup__type_html_gab75d5cdc622d2778bad24e3a8130aab9"><div class="ttname"><a href="group__type.html#gab75d5cdc622d2778bad24e3a8130aab9">syncDiagonalOp</a></div><div class="ttdeci">void syncDiagonalOp(DiagonalOp op)</div><div class="ttdoc">Copy the elements in DiagonalOp op.real and op.imag to the persisent GPU memory.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01280">QuEST.c:1280</a></div></div>
<div class="ttc" id="agroup__type_html_ga2c59f45fab56708f687b4104ee99bcd1"><div class="ttname"><a href="group__type.html#ga2c59f45fab56708f687b4104ee99bcd1">destroyDiagonalOp</a></div><div class="ttdeci">void destroyDiagonalOp(DiagonalOp op, QuESTEnv env)</div><div class="ttdoc">Destroys a DiagonalOp created with createDiagonalOp(), freeing its memory.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01273">QuEST.c:1273</a></div></div>
<div class="ttc" id="autilities_8hpp_html_a2f52338126bb8cdf7fcf68eaf01c546a"><div class="ttname"><a href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a></div><div class="ttdeci">#define NUM_QUBITS</div><div class="ttdoc">The default number of qubits in the registers created for unit testing (both statevectors and density...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00036">utilities.hpp:36</a></div></div>
<div class="ttc" id="aQuEST_8h_html"><div class="ttname"><a href="QuEST_8h.html">QuEST.h</a></div></div>
<div class="ttc" id="agroup__calc_html_ga683779343fb2c6055f6b1d01079c2ede"><div class="ttname"><a href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a></div><div class="ttdeci">qreal calcPurity(Qureg qureg)</div><div class="ttdoc">Calculates the purity of a density matrix, by the trace of the density matrix squared.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00936">QuEST.c:936</a></div></div>
<div class="ttc" id="agroup__calc_html_ga2a7946e6fa4f44c9ae0c6c9f683229ad"><div class="ttname"><a href="group__calc.html#ga2a7946e6fa4f44c9ae0c6c9f683229ad">calcProbOfOutcome</a></div><div class="ttdeci">qreal calcProbOfOutcome(Qureg qureg, int measureQubit, int outcome)</div><div class="ttdoc">Gives the probability of a specified qubit being measured in the given outcome (0 or 1).</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00926">QuEST.c:926</a></div></div>
<div class="ttc" id="agroup__calc_html_gaa266ed6c8ae5d0d0f49e1ac50819cffc"><div class="ttname"><a href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a></div><div class="ttdeci">qreal calcFidelity(Qureg qureg, Qureg pureState)</div><div class="ttdoc">Calculates the fidelity of qureg (a statevector or density matrix) against a reference pure state (ne...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00942">QuEST.c:942</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gacd5aadbe10ecdedaa625f85171c0a3cd"><div class="ttname"><a href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a></div><div class="ttdeci">qreal getRandomReal(qreal min, qreal max)</div><div class="ttdoc">Returns a random real between min (inclusive) and max (exclusive), from the uniform distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00410">utilities.cpp:410</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga2de7d3b138728b6beb7753b82df61803"><div class="ttname"><a href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a></div><div class="ttdeci">QMatrix getKetBra(QVector ket, QVector bra)</div><div class="ttdoc">Returns the matrix |ket&gt;&lt;bra|, with ith-jth element ket(i) conj(bra(j)), since |ket&gt;&lt;bra| = sum_i a_i...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00159">utilities.cpp:159</a></div></div>
<div class="ttc" id="agroup__calc_html_ga82f17e96a4cb7612fb9c6ef856df3810"><div class="ttname"><a href="group__calc.html#ga82f17e96a4cb7612fb9c6ef856df3810">calcExpecDiagonalOp</a></div><div class="ttdeci">Complex calcExpecDiagonalOp(Qureg qureg, DiagonalOp op)</div><div class="ttdoc">Computes the expected value of the diagonal operator op for state qureg.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00979">QuEST.c:979</a></div></div>
<div class="ttc" id="agroup__type_html_ga7740e349b4f8bae6451547680f0ce2d6"><div class="ttname"><a href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a></div><div class="ttdeci">#define qreal</div></div>
<div class="ttc" id="agroup__testutilities_html_ga253946523907014c4f198d2bb38d4913"><div class="ttname"><a href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a></div><div class="ttdeci">QMatrix toQMatrix(ComplexMatrix2 src)</div><div class="ttdoc">Returns a copy of the given 2-by-2 matrix.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00869">utilities.cpp:869</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gaf5a18d4c00dfe0523972be3bfc666362"><div class="ttname"><a href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a></div><div class="ttdeci">void toQureg(Qureg qureg, QVector vec)</div><div class="ttdoc">Initialises the state-vector qureg to have the same amplitudes as vec.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l01026">utilities.cpp:1026</a></div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c">PAULI_X</a></div><div class="ttdeci">@ PAULI_X</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__calc_html_ga30d6f8b7c766c9c9914b2c61a2fc0def"><div class="ttname"><a href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a></div><div class="ttdeci">Complex getAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the complex amplitude at a given index in the state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00699">QuEST.c:699</a></div></div>
<div class="ttc" id="agroup__calc_html_ga5544d2833a69941b8820797b79daf79f"><div class="ttname"><a href="group__calc.html#ga5544d2833a69941b8820797b79daf79f">calcExpecPauliHamil</a></div><div class="ttdeci">qreal calcExpecPauliHamil(Qureg qureg, PauliHamil hamil, Qureg workspace)</div><div class="ttdoc">Computes the expected value of qureg under Hermitian operator hamil.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00970">QuEST.c:970</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga11c465ce1a5c238946a9e09d61c94c58"><div class="ttname"><a href="group__testutilities.html#ga11c465ce1a5c238946a9e09d61c94c58">setRandomPauliSum</a></div><div class="ttdeci">void setRandomPauliSum(qreal *coeffs, pauliOpType *codes, int numQubits, int numTerms)</div><div class="ttdoc">Populates the coeffs array with random qreals in (-5, 5), and populates codes with random Pauli codes...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l01054">utilities.cpp:1054</a></div></div>
<div class="ttc" id="agroup__calc_html_ga87ddbe5c8281543541ccd99e0dafd387"><div class="ttname"><a href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a></div><div class="ttdeci">qreal calcHilbertSchmidtDistance(Qureg a, Qureg b)</div><div class="ttdoc">Computes the Hilbert Schmidt distance between two density matrices a and b, defined as the Frobenius ...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00988">QuEST.c:988</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gac9263a65c96a458b810b20baa81c5b94"><div class="ttname"><a href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a></div><div class="ttdeci">std::vector&lt; qcomp &gt; QVector</div><div class="ttdoc">A complex vector, which can be zero-initialised with QVector(numAmps).</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00060">utilities.hpp:60</a></div></div>
<div class="ttc" id="astructDiagonalOp_html_a85c3f52533efe831bbe40b9a48602388"><div class="ttname"><a href="structDiagonalOp.html#a85c3f52533efe831bbe40b9a48602388">DiagonalOp::imag</a></div><div class="ttdeci">qreal * imag</div><div class="ttdoc">The imaginary values of the 2^numQubits complex elements.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00191">QuEST.h:191</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gade0e7c37811a69f1c21c88c11943a19f"><div class="ttname"><a href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a></div><div class="ttdeci">QVector toQVector(Qureg qureg)</div><div class="ttdoc">Returns an equal-size copy of the given state-vector qureg.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00938">utilities.cpp:938</a></div></div>
<div class="ttc" id="agroup__type_html_gad863c5878a01051a2726ce94bf365428"><div class="ttname"><a href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a></div><div class="ttdeci">#define qcomp</div></div>
<div class="ttc" id="agroup__unittest_html_ga4f3c9ca42b9b7cd322f1b89ba2350a81"><div class="ttname"><a href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a></div><div class="ttdeci">TEST_CASE(&quot;calcDensityInnerProduct&quot;, &quot;[calculations]&quot;)</div><div class="ttdef"><b>Definition:</b> <a href="test__calculations_8cpp_source.html#l00015">test_calculations.cpp:15</a></div></div>
<div class="ttc" id="astructPauliHamil_html_a4b8d38c403553c07ceddcd40c46ce6c8"><div class="ttname"><a href="structPauliHamil.html#a4b8d38c403553c07ceddcd40c46ce6c8">PauliHamil::pauliCodes</a></div><div class="ttdeci">enum pauliOpType * pauliCodes</div><div class="ttdoc">The Pauli operators acting on each qubit, flattened over every operator.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00162">QuEST.h:162</a></div></div>
<div class="ttc" id="agroup__calc_html_ga1416145280c62c5dd5ec9bed89b4cd05"><div class="ttname"><a href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a></div><div class="ttdeci">qreal getRealAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the real component of the complex probability amplitude at an index in the state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00678">QuEST.c:678</a></div></div>
<div class="ttc" id="astructDiagonalOp_html"><div class="ttname"><a href="structDiagonalOp.html">DiagonalOp</a></div><div class="ttdoc">Represents a diagonal complex operator on the full Hilbert state of a Qureg.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00178">QuEST.h:178</a></div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd">PAULI_Y</a></div><div class="ttdeci">@ PAULI_Y</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="astructPauliHamil_html"><div class="ttname"><a href="structPauliHamil.html">PauliHamil</a></div><div class="ttdoc">Represents a weighted sum of pauli products.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00158">QuEST.h:158</a></div></div>
<div class="ttc" id="agroup__calc_html_ga73036c778d800703585ab3d8796a915f"><div class="ttname"><a href="group__calc.html#ga73036c778d800703585ab3d8796a915f">getNumQubits</a></div><div class="ttdeci">int getNumQubits(Qureg qureg)</div><div class="ttdoc">Get the number of qubits in a qureg object.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00668">QuEST.c:668</a></div></div>
<div class="ttc" id="agroup__calc_html_ga374ad70804998394ae41ebfe106258a6"><div class="ttname"><a href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a></div><div class="ttdeci">Complex calcInnerProduct(Qureg bra, Qureg ket)</div><div class="ttdoc">Computes the inner product  of two equal-size state vectors, given by.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00910">QuEST.c:910</a></div></div>
<div class="ttc" id="agroup__type_html_ga8e1e6ad3254892edc2ee08712ea9d692"><div class="ttname"><a href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a></div><div class="ttdeci">void destroyQureg(Qureg qureg, QuESTEnv env)</div><div class="ttdoc">Deallocate a Qureg object representing a set of qubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00077">QuEST.c:77</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gae1d2eb70b50267f8186cbd53e300d94f"><div class="ttname"><a href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a></div><div class="ttdeci">QVector getRandomStateVector(int numQb)</div><div class="ttdoc">Returns a random numQb-length L2-normalised state-vector from an undisclosed distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00453">utilities.cpp:453</a></div></div>
<div class="ttc" id="agroup__debug_html_gaa696c94112e5fbbc996af10dfc4e2c1c"><div class="ttname"><a href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a></div><div class="ttdeci">void initDebugState(Qureg qureg)</div><div class="ttdoc">Initialises qureg to be in the un-normalised, non-physical state with with n-th complex amplitude (2n...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01308">QuEST.c:1308</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gaa2e8b958e0cba07e01de9f91a5ce3c9c"><div class="ttname"><a href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a></div><div class="ttdeci">QMatrix getRandomQMatrix(int dim)</div><div class="ttdoc">Returns a dim-by-dim complex matrix, where the real and imaginary value of each element are independe...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00368">utilities.cpp:368</a></div></div>
<div class="ttc" id="astructQureg_html"><div class="ttname"><a href="structQureg.html">Qureg</a></div><div class="ttdoc">Represents a system of qubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00203">QuEST.h:203</a></div></div>
<div class="ttc" id="agroup__calc_html_ga8cbe422d4981bf06847d229a4c6aa3df"><div class="ttname"><a href="group__calc.html#ga8cbe422d4981bf06847d229a4c6aa3df">getNumAmps</a></div><div class="ttdeci">long long int getNumAmps(Qureg qureg)</div><div class="ttdoc">Get the number of probability amplitudes in a qureg object, given by 2^numQubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00672">QuEST.c:672</a></div></div>
<div class="ttc" id="astructDiagonalOp_html_a2c6eab631ef48b4978db026c98180eee"><div class="ttname"><a href="structDiagonalOp.html#a2c6eab631ef48b4978db026c98180eee">DiagonalOp::numElemsPerChunk</a></div><div class="ttdeci">long long int numElemsPerChunk</div><div class="ttdoc">The number of the 2^numQubits amplitudes stored on each distributed node.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00183">QuEST.h:183</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gabbc686f5f40eff22e08a2b2012ac4e41"><div class="ttname"><a href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; qcomp &gt; &gt; QMatrix</div><div class="ttdoc">A complex square matrix.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00049">utilities.hpp:49</a></div></div>
<div class="ttc" id="agroup__calc_html_ga50ee589fd5ceab52fdd70d0082352b41"><div class="ttname"><a href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a></div><div class="ttdeci">qreal calcExpecPauliSum(Qureg qureg, enum pauliOpType *allPauliCodes, qreal *termCoeffs, int numSumTerms, Qureg workspace)</div><div class="ttdoc">Computes the expected value of a sum of products of Pauli operators.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00961">QuEST.c:961</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga35add15146aa606b256df79334b867d5"><div class="ttname"><a href="group__testutilities.html#ga35add15146aa606b256df79334b867d5">sublists</a></div><div class="ttdeci">Catch::Generators::GeneratorWrapper&lt; int * &gt; sublists(int *list, int len, int sublen)</div><div class="ttdoc">Returns a Catch2 generator of every length-sublen sublist of length-len list, in increasing lexograph...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l01199">utilities.cpp:1199</a></div></div>
<div class="ttc" id="astructQureg_html_ad08dff5316b8937f4b2a1417591543dc"><div class="ttname"><a href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">Qureg::numQubitsRepresented</a></div><div class="ttdeci">int numQubitsRepresented</div><div class="ttdoc">The number of qubits represented in either the state-vector or density matrix.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00208">QuEST.h:208</a></div></div>
<div class="ttc" id="astructDiagonalOp_html_a1d66088bed235d524cd452b107694d5c"><div class="ttname"><a href="structDiagonalOp.html#a1d66088bed235d524cd452b107694d5c">DiagonalOp::real</a></div><div class="ttdeci">qreal * real</div><div class="ttdoc">The real values of the 2^numQubits complex elements.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00189">QuEST.h:189</a></div></div>
<div class="ttc" id="astructComplex_html_ab5b2e2eca02131fc74b289a83636cbe3"><div class="ttname"><a href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">Complex::real</a></div><div class="ttdeci">qreal real</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00105">QuEST.h:105</a></div></div>
<div class="ttc" id="agroup__type_html_ga3392816c0643414165c2f5caeec17df0"><div class="ttname"><a href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a></div><div class="ttdeci">Qureg createQureg(int numQubits, QuESTEnv env)</div><div class="ttdoc">Create a Qureg object representing a set of qubits which will remain in a pure state.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00036">QuEST.c:36</a></div></div>
<div class="ttc" id="agroup__type_html_gac1c8ed909b33bd55ae680901006051b6"><div class="ttname"><a href="group__type.html#gac1c8ed909b33bd55ae680901006051b6">destroyPauliHamil</a></div><div class="ttdeci">void destroyPauliHamil(PauliHamil h)</div><div class="ttdoc">Destroy a PauliHamil instance, created with either createPauliHamil() or createPauliHamilFromFile().</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01163">QuEST.c:1163</a></div></div>
<div class="ttc" id="astructComplex_html_a84f5439aad0ef495efdd3b4c1c02d27e"><div class="ttname"><a href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">Complex::imag</a></div><div class="ttdeci">qreal imag</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00106">QuEST.h:106</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga50616e813b0d0aa4f8220785d780cdff"><div class="ttname"><a href="group__testutilities.html#ga50616e813b0d0aa4f8220785d780cdff">getKroneckerProduct</a></div><div class="ttdeci">QMatrix getKroneckerProduct(QMatrix a, QMatrix b)</div><div class="ttdoc">Returns the kronecker product of a and b, where a and b are square but possibly differently-sized com...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00169">utilities.cpp:169</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga617b0fd1eb1c395762c937ad3b23e61b"><div class="ttname"><a href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a></div><div class="ttdeci">QMatrix getRandomDensityMatrix(int numQb)</div><div class="ttdoc">Returns a random numQb-by-numQb density matrix, from an undisclosed distribution, in a very mixed sta...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00457">utilities.cpp:457</a></div></div>
<div class="ttc" id="astructComplex_html"><div class="ttname"><a href="structComplex.html">Complex</a></div><div class="ttdoc">Represents one complex number.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00103">QuEST.h:103</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga27dc818709394cb31247e26850215f8a"><div class="ttname"><a href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a></div><div class="ttdeci">QVector getRandomQVector(int dim)</div><div class="ttdoc">Returns a dim-length vector with random complex amplitudes in the square joining {-1-i,...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00420">utilities.cpp:420</a></div></div>
<div class="ttc" id="agroup__init_html_ga2f049055d4a51d0ea4d1a43b5234dedb"><div class="ttname"><a href="group__init.html#ga2f049055d4a51d0ea4d1a43b5234dedb">initZeroState</a></div><div class="ttdeci">void initZeroState(Qureg qureg)</div><div class="ttdoc">Initialise a set of  qubits to the classical zero state .</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00113">QuEST.c:113</a></div></div>
<div class="ttc" id="agroup__calc_html_ga658b3a5cab5e73a17a7fd76a83583a22"><div class="ttname"><a href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a></div><div class="ttdeci">qreal calcDensityInnerProduct(Qureg rho1, Qureg rho2)</div><div class="ttdoc">Computes the Hilbert-Schmidt scalar product (which is equivalent to the Frobenius inner product of ma...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00918">QuEST.c:918</a></div></div>
<div class="ttc" id="agroup__type_html_ga93e55b6650b408abb30a1d4a8bce757c"><div class="ttname"><a href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a></div><div class="ttdeci">Qureg createDensityQureg(int numQubits, QuESTEnv env)</div><div class="ttdoc">Create a Qureg for qubits which are represented by a density matrix, and can be in mixed states.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00050">QuEST.c:50</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga731c2de4d491629d806a03e0aea2f3a3"><div class="ttname"><a href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a></div><div class="ttdeci">void applyReferenceOp(QVector &amp;state, int *ctrls, int numCtrls, int *targs, int numTargs, QMatrix op)</div><div class="ttdoc">Modifies the state-vector state to be the result of applying the multi-target operator matrix op,...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00573">utilities.cpp:573</a></div></div>
<div class="ttc" id="agroup__type_html_ga35b28710877c462927366fa602e591cb"><div class="ttname"><a href="group__type.html#ga35b28710877c462927366fa602e591cb">createPauliHamil</a></div><div class="ttdeci">PauliHamil createPauliHamil(int numQubits, int numSumTerms)</div><div class="ttdoc">Create a PauliHamil instance, which is a Hamiltonian expressed as a real-weighted sum of products of ...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01147">QuEST.c:1147</a></div></div>
<div class="ttc" id="agroup__init_html_ga234bd34016f08288532791903b9884b5"><div class="ttname"><a href="group__init.html#ga234bd34016f08288532791903b9884b5">initPlusState</a></div><div class="ttdeci">void initPlusState(Qureg qureg)</div><div class="ttdoc">Initialise a set of  qubits to the plus state  (and similarly  for density matrices).</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00125">QuEST.c:125</a></div></div>
<div class="ttc" id="agroup__calc_html_ga15cfad3f3d26339128e3be32ae7deacd"><div class="ttname"><a href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a></div><div class="ttdeci">qreal calcExpecPauliProd(Qureg qureg, int *targetQubits, enum pauliOpType *pauliCodes, int numTargets, Qureg workspace)</div><div class="ttdoc">Computes the expected value of a product of Pauli operators.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00952">QuEST.c:952</a></div></div>
<div class="ttc" id="autilities_8hpp_html"><div class="ttname"><a href="utilities_8hpp.html">utilities.hpp</a></div></div>
<div class="ttc" id="agroup__type_html_gaebf896dd8d5eeaf9fd896f6cc8e334fe"><div class="ttname"><a href="group__type.html#gaebf896dd8d5eeaf9fd896f6cc8e334fe">createDiagonalOp</a></div><div class="ttdeci">DiagonalOp createDiagonalOp(int numQubits, QuESTEnv env)</div><div class="ttdoc">Creates a DiagonalOp representing a diagonal operator on the full Hilbert space of a Qureg.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01267">QuEST.c:1267</a></div></div>
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